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Finding the Fourth Proportional to 51.80, 77.57 and 39.05

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Solution

The fourth proportional to 51.80, 77.57 and 39.05 is: 58.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.80 : 77.57 = 39.05 : x
  2. Step 2: Convert to fraction form
    51.80/77.57 = 39.05/x
  3. Step 3: Cross multiply
    51.80x = 77.57 × 39.05
  4. Step 4: Simplify right side
    51.80x = 3,028.82
  5. Step 5: Solve for x
    x = 3,028.82/51.80
  6. Step 6: Final answer
    x = 58.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.